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Let A be a 2xx2 matrix Statement -1 ad...

Let A be a `2xx2` matrix
Statement -1 adj `(adjA)=A`
Statement-2 `abs(adjA) = abs(A)`

A

Statement -1 is true, Statement-2 is true, Statement-2 is a
correct explanation for Statement-1

B

Statement -1 is true, Statement - 2 is true, Statement -2 is not
a correct explanation for Statement-1

C

Statement-1 is true, Statement-2 is false

D

Statement-1 is false, Statement-2 is true

Text Solution

Verified by Experts

The correct Answer is:
B
`abs(adjA) = abs(A)^(n-1) = abs(A)^(2-1)=abs(A)`
`adj ("adj A")=abs(A)^(n-2)A`
`=abs(A)^(2-2) A= abs(A)^(0) A = A`
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